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Finding the Fourth Proportional to 149,557.92, 206,386.32 and 82,488.48

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Solution

The fourth proportional to 149,557.92, 206,386.32 and 82,488.48 is: 113,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,557.92 : 206,386.32 = 82,488.48 : x
  2. Step 2: Convert to fraction form
    149,557.92/206,386.32 = 82,488.48/x
  3. Step 3: Cross multiply
    149,557.92x = 206,386.32 × 82,488.48
  4. Step 4: Simplify right side
    149,557.92x = 17,024,493,829.59
  5. Step 5: Solve for x
    x = 17,024,493,829.59/149,557.92
  6. Step 6: Final answer
    x = 113,832.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.